QUESTION BANK

DEPARTMENT: CIVIL SEMESTER: VI

SUBJECT CODE / Name: CE 6602 -STRUCTURAL ANALYSIS-II

UNIT I

FLEXIBILITY METHOD

1. Find degree of indeterminacy of the following. (AUC Apr/May 2011)

2. Define kinematic redundancy (AUC Apr/May 2011)

3. Differentiate pin-jointed plane frame and rigid jointed plane frame (May/Jun 2016,2013)

4. Mention any two methods of determining the joint deflection of perfect frame (May/Jun

2016,2013)

5. Differentiate between determinate and indeterminate structures(May/Jun 2016)

6. Define force transformation matrix (May/Jun 2016)

7. What is degree of freedom (Nov/Dec 2016)

8. Write the flexibility matrix for the simply supported beam having coordinates at the ends

(May/Jun 2016)

9. Define kinematic redundancy (Apr/may 2011)

10. What are compatibility conditions (May/Jun 2014)

11. What are determinate structures (May/Jun 2014)

12. What are the conditions to be satisfied for determinate structures and how are indeterminate

structures identified? (May/Jun 2012)

13. Write down the equation for the degree of static indeterminacy of the pin-jointed plane frame,

explaining the notations used? (May/Jun 2012)

14. What are equilibrium equations? (Nov/Dec 2013)

15. Explain indeterminacy of structures (Nov/Dec 2016)

16. Find the degree of indeterminacy of a propped cantilever beam (Apr/May 2015)

17. What is primary structure? (Nov/Dec 2012)

18. Define internal and external indeterminacies?

19. Write the equation for degree of indeterminacy for truss member?

20. What are the methods of analysis of indeterminate structures?

PART B

1. Analyse the continuous beam shown in figure using force method. (AUC Apr/May

2011)

2. Analyse the portal frame ABCD shown in figure using force method. (AUC Apr/May

2011)

3. Analyse the continuous beam ABC shown in figure by flexibility matrix method and

sketch the bending moment diagram. (AUC Nov/Dec 2011).

4. Analyse the portal frame ABCD shown in figure by flexibility matrix method and sketch

the bending moment diagram. (AUC Nov/Dec 2011)

5. Analyse the continuous beam ABC shown in figure by flexibility matrix method and

sketch the bending moment diagram. (AUC May/June 2012)

6. A cantilever of length 15 m is subjected to a single concentrated load of 50 kN at the

middle of the span. Find the deflection at the free end using flexibility matrix method.

EI is uniform throughout. (AUC May/June 2013)

7. A Statically indeterminate frame shown in figure carries a load of 80 kN. Analyse the

frame by matrix flexibility method. A and E are same for all members. (AUC May/June

2012)

8. Analyse the continuous beam shown in figure by flexibility method. (N/D 2011)

9. Analyse the continuous beam shown in figure by flexibility method. (M/J2011)

10. A continuous beam ABC is fixed at A and has roller support at B& C. AB=5m,BC=3m. it is

subjected to UDL of intensity 15 kN/m, throughout the span. Analyze the beam. Take EI as

constant (A/M 2015)

11. A two span continuous beam ABC is fixed at A and has hinged support at B& C. AB= BC=

13 m. setup the flexibility influence coefficient matrix assuming vertical reaction at B and C

as redundant (N/D 2015)

12. A cantilever of length 20 m is subjected to a single concentrated load of 45 kN at the middle

of the span. Find the deflection at the free end using FEM. (N/D 2015)

13. A two span continuous beam ABC is fixed at A and has hinged support at B& C. AB= BC=

9 m. setup the flexibility influence coefficient matrix assuming vertical reaction at B and C as

redundant (M/J 2016)

14. A cantilever of length 15 m is subjected to a single concentrated load of 50 kN at the middle

of the span. Find the deflection at the free end using FEM. (M/J 2016)

UNIT II

STIFFNESS MATRIX METHOD

PART A

1. Write the element stiffness matrix for a beam element? (M/J 2016)

2. When is stiffness method preferred over flexibility method? (M/J 2016)

3. Compare flexibility and stiffness matrix methods? (M/J 2016)

4. What is the relation between flexibility and stiffness matrix? (M/J 2016, N/D 16define static

indeterminacy? (A/M 2011 )

5. Write a note on element stiffness matrix? (M/J 2013)

6. List out the properties of rotational matrix? (M/J 2013)

7. Define displacement vector (M/J 2014)

8. Define DOF of the structure with a example? (M/J 2012)

9. Write a short note on global stiffness matrices? (M/J 2012)

10. What is rotation matrix? (N/D 2013)

11. Define flexibility of a structure? (N/D 2014)

12. Write down the equation of element stiffness matrix as applied to 2D plane element. (AUC

Nov/Dec 2011)

13. Define DOF of the structure with an example (M/J 2012)

14. What is the degree of kinematic indeterminacy and give an example (N/D 2011)

15. What are the basic unknowns in stiffness matrix method?

16. What is the displacement transformation matrix?

17. How are the basic equations of stiffness matrix obtained?

18. Write about the force displacement relationship.

19. Is it possible to develop the flexibility matrix for an unstable structure?

20. List the properties of the stiffness matrix.

PART B

1. Analyse the continuous beam shown in figure using displacement method.

(Apr/May2011)

2. Analyse the continuous beam ABC shown in figure by stiffness method and also draw the

shear force diagram. (AUC Nov/Dec 2011).

3. Analyse the portal frame ABCD shown in figure by stiffness method and also draw the

bending moment diagram. (AUC Nov/Dec 2011)

4. Analyse the continuous beam ABC shown in figure by stiffness method and also sketch the

bending moment diagram. (AUC May/June 2012)

5. Analyse the portal frame ABCD shown in figure by stiffness method and also sketch the

bending moment diagram. (AUC May/June 2012)

6. A two span continuous beam ABC is fixed at A and simply supported over the supports B and

C. AB = 10 m and BC = 8 m. moment of inertia is constant throughout. A single central

concentrated load of 10 tons acts on AB and a uniformly distributed load of 8 ton/m acts over

BC. Analyse the beam by stiffness matrix method. (AUC May/June 2013)

7. A portal frame ABCD with supports A and D are fixed at same level carries a uniformly

distributed load of 8 tons/m on the span AB. Span AB = BC = CD = 9 m. EI is constant

throughout. Analyse the frame by stiffness matrix method. (AUC May/June 2013)

8. Analyse the frame shown in figure by matrix stiffness method.

9. Analyse the continuous beam shown in figure using displacement method.

10. Explain the steps involved in the analysis of pin-jointed plane frame using matrix stiffness

method (N/D 2015)

11. A two span continuous beam ABC is fixed at A and has simply support at B& C.

AB= 10 m BC = 6 m. moment of inertia is constant throughout. A simgle concentrated load

of 12 tons acts on AB and a UDL of 11 tons/m acts over BC. (N/D 2015)

UNIT III

FINITE ELEMENT METHOD

PART A

1. Mention the application of beam element ( May/Jun 2016, Nov/Dec 2013)

2. Define plane stress ( May/Jun 2016, Apr/May 2016, Nov/Dec 2013, 2014)

3. Define aspect ratio. (april/may 2010)

4. What are possible locations for nodes?

5. What are the characteristics of displacement functions? Apr/May 2016

6. What is meant by discretization? (May/Jun 2016, 2013, 2014)

7. What is CST element? ( May/Jun 2016,2012)

8. What are the factors governing the selection of finite elements?

9. List out the advantages of FEM (Nov/Dec 2016, 2014, Apr/May 2016 )

10. What are triangular elements May/Jun 2013)

11. Define displacement function. (May/Jun 2012

12. What are 2-D elements? Give examples.

13. List out the disadvantages of FEM. May/Jun 2013

14. What are the basic steps in FEM?

15. Define beam element (May/Jun 2014)

16. What are the properties of shape function (Nov/Dec 2016)

17. What are the needs to satisfy shape function? ( May/Jun 2012)

18. What are different types of elements used in FEM? (Nov/Dec 2015)

19. What are 1-D elements? Give examples.

20. What are the steps in discretization?

PART B

1. Develop a shape function for a 8 noded brick element? Nov/Dec 2014,

APR/MAY 2011

2. Construct the shape function for a 2-D element? Nov/Dec 2014, APR/MAY

2011

3. Explain the following Nov/Dec 2013

CST

LST

4. Explain the types and applications of truss elements in FEM? Nov/Dec 2013

5. With a two dimensional triangular element model, drive for the

displacement in matrix form ( May/Jun 2012)

6. For the 2-D truss structure as shown in fig, formulate the global stiffness

matrix. The geometry and loading are symmetrical about centre line. Assume

the area of C/S is same take E= 2x 105 kN/m2 ( May/Jun 2014)

7. Explain application the beam element and triangular element in FEM (

May/Jun 2014)

8. Explain the types and application the beam element in FEM ( May/Jun 2013)

9. Explain the method of solving plane stress and plane strain problems using

FEM ( May/Jun 2013)

10. Construct the shape function for a 4 noded element? Nov/Dec 2016

UNIT IV

PLASTIC ANALYSIS

PART A

1. What is shape factor? (AUC Apr/May 2011) (AUC Nov/Dec 2011)

2. State upper bound theorem.( A/M 2011) (AUC M/J2013) A/m2012, Nov/dec

2016,

3. Define plastic modulus.(AUC Nov/Dec 2011) May/jun 2014, 2016

4. What are meant by load factor and collapse load? (AUC Nov/Dec 2011 & May/June

2012)

5. Define plastic hinge with an example. (AUC May/June 2012 & 2013)

6. State lower bound theorem (N/D 2012)

7. List the assumptions made in pure bending May/jun 2014,2016

8. Give the governing equation for bending.

9. Derive the shape factor for the rectangular section of base (b) and depth (d)

Nov/dec 2016

10. What are the assumptions made in plastic analysis of structures May/jun 2014

11. What is the minimum no of members required to develop a stable space truss

having 4 joints Nov/dec 2014

12. Explain pure bending Nov/dec 2013

13. State plastic moment of resistance Nov/dec 2013

14. Define plastic hinge with example May/jun 2012, May/jun 2013

15. What is difference between plastic hinge and mechanical hinge?

16. Mention the section having maximum shape factor.

17. What are the different types of mechanisms?

18. Mention the types of frames.

19. What are symmetric frames and how they analyzed?

20. What are the limitations of load factor concept

21. Give the theorems for determining the collapse load

22. How is the shape factor of a hollow circular section related to the shape factor of a

ordinary circular section

PART B

1. A two span continous beam of section is fixed at A and hinged at B and C span AB

is 8 m and BC is 6m long. Two point loads of 50 kN each are acting on AB at 2m

from A and B. Span BC is loaded with UDL of 10 kN/m. determine the plastic

moment (may/june 2016)

2. Determine the shape factor of a T-section beam of flange dimension 100x10 mm and

web dimension 90x10 mm thick (nov/dec 2016)

3. Explain the following

(i) Pure bending

(ii) Plastic moment of rresistance (May/June 2014)

4. Determine the shape factor of a T-section beam of flange dimension 100x12 mm and

web dimension 138 x12 mm thick (May/June 2012)

5. Explain the following

i. Plastic modulus

ii. Shape factor

iii. Load factor (May/June 2014)

6. Derive the shape factor for I section and circular section.(AUC Apr/May

2011) I section:

7. Find the fully plastic moment required for the frame shown in figure, if all the

members have same value of MP. (AUC Apr/May 2011)

8. A simply supported beam of span 5 m is to be designed for an udl of 25

kN/m. Design a suitable I section using plastic theory, assuming yield stress

in steel as fy = 250 N/mm2(AUC Nov/Dec 2011)

9. Analyse a propped cantilever of length ‘L’ and subjected to udl of w/m length

for the entire span and find the collapse load. (AUC Nov/Dec 2011)

10. Determine the shape factor of a T-section beam of flange dimension 100 x 12

mm and web dimension 138 x 12 mm thick. (AUC May/June 2012)

11. A continuous beam ABC is loaded as shown in figure. Determine the required

MP if the load factor is 3.2.

a.

12. A uniform beam of span 4 m and fully plastic moment MP is simply supported

at one end and rigidly clamped at other end. A concentrated load of 15 kN may

be applied anywhere within the span. Find the smallest value of MP such that

collapse would first occur when the load is in its most unfavourable position.

(AUC May/June 2013)

13. Determine the collapse load ‘W’ for a three span continuous beam of

constant plastic moment ‘MP’ loaded as shown in figure.(AUC May/June

2012)

14. Find the collapse load for the frame shown in figure.

UNIT V

SPACE AND CABLE STRUCTURES

PART A

1. Give any two examples of beams curved in plan. (AUC Apr/May

2011)

2. What is the nature of forces in the cables? (AUC Apr/May 2011)

3. Define tension coefficient. For what type of structures tension

coefficient method is employed?(Nov/Dec 2011)

4. What are the components of forces acting on the beams curved in plan

and show the sign conventions of these forces?

5. Define a space frame and what is the nature of joint provided in the

space trusses? (AUC May/June 2012)

6. What are the types of stiffening girders?(AUC May/June 2012)

7. What are the methods available for the analysis of space trusses?

(AUC May/June 2013)

8. What is the need for cable structures? (AUC May/June

2013)

9. What are cable structures? (A/M 2011)

10. Give examples of beams curved in plan (A/M 2015)

11. Why are stiffening girders used in suspension bridge? (A/M 2015)

12. What are curved beams? (N/D 2015)

13. Write the applications of space trusses? (N/D 2015)

14. The load transfer mechanism in suspension cables are through axial

forces bending moment and shear force. State true or false with an

example.(M/J 2016)

15. What is the slope of the cable with a stiffened three hinged girder?

Give brief explanation? (M/J 2016)

16. What is the true shape of cable structures?

17. Mention the different types of cable structures?

18. Explain cable over saddle?

19. Differentiate between plane truss and space truss?

20. Define tension coefficient of a truss member?

21. What are the forces developed in beams curved in plan?

PART B

1. A suspension cable is supported at two point “A” and “B”, “A” being one

metre above “B”. the distance AB being 20 m. the cable is subjected to 4

loads of 2 kN, 4 kN, 5 kN and 3 kN at distances of 4 m, 8 m, 12 m and 16 m

respectively from “A”. Find the maximum tension in the cable, if the dip of

the cable at point of application of first loads is 1 m with respect to level at

A. find also the length of the cable. (AUC Apr/May 2011)

2. A suspension bridge has a span 50 m with a 15 m wide runway. It is subjected

to a load of30 kN/m including self weight. The bridge is supported by a pair

of cables having a central dip of 4 m. find the cross sectional area of the

cable necessary if the maximum permissible stress in the cable materials is

not to exceed 600 MPa. (AUC Nov/Dec 2011)

3. A three hinged stiffening girder of a suspension bridge of 100 m span subjected

to two point loads 10 kN each placed at 20 m and 40 m respectively from the

left hand hinge. Determine the bending moment and shear force in the girder

at section 30 m from each end. Also determine the maximum tension in the

cable which has a central dip of 10 m.(AUC May/June 2012)

4. A suspension bridge cable of span 80 m and central dip 8 m is suspended

from the same level at two towers. The bridge cable is stiffened by a three

hinged stiffening girder which carries a single concentrated load of 20 kN at

a point of 30 m from one end. Sketch the SFD for the girder. (AUC

May/June 2013)

5. A suspension bridge 0f 250 m span has two nos. of three hinged

stiffening girders supported by cables with a central dip of 25 m. if 4 point

loads of 300 kN each are placed at the centre line of the roadway at 20, 30, 40

and 50 m from left hand hinge. Find the shear force and bending moment in

each girder at 62.5 m from each end. Calculate also the maximum tension in

the cable.(A/M 2011)

6. A suspension bridge is of 160 m span. The cable of the bridge has a dip of 12

m. the cable is stiffened by a three hinged girder with hinges at either end

and at centre. The dead load of the girder is 15 kN/m. find the greatest positive

and negative bending moments in the girder when a single concentrated load

of 340 kN passes through it. Also find the maximum tension in the cable. (M/J

2012)

7. A suspension cable of 75 m horizontal span and central dip 6 m has a

stiffening girder hinged at both ends. The dead load transmitted to the cable

including its own weight is1500 kN. The girder carries a live load of 30 kN/m

uniformly distributed over the left half of the span. Assuming the girder to

be rigid, calculate the shear force and bending moment in the girder at 20 m

from left support. Also calculate the maximum tension in the cable.(A/M 2010)

8. A Suspension cable 80 m span and 12 m dip is stiffened with a two-hinged

girder. The girder carries a dead load of 10 kN/m over the entire span and a

concentrated load of 60kN at 5o m from the left support. Determine the

maximum tension in the cable and the shear force and bending moment at a

section 35 m from the left support? (A/m 2015)

9. A curved beam in the form of a quadrant of a circle of radius R and having a

uniform c/s in a horizontal plane. It is fixed at A and free at B. it carries a

vertical concentrated load P at the free end B. determine the vertical deflection

of the end B (M/J 2016)

10. A suspension cable, having supports at the same level, has a span of 45 m and

the max dip is 4 m. the cable is loaded with the udl of 15 kN/m run over the

whole span and two point loads 35 kN each at middle third points. Find the

max tension in he cable. Also calculate the length of cable required. (M/J 2016)

11. Derive the expression for bending moment and torsion for a semicircular beam

of radius R. the C/S of the material is circular with radius r. it is loaded with a

load at the mid point of the semicircle. (M/J 2013)